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Finding the Fourth Proportional to 273,140,930.70, 409,711,396.05 and 273,140,930.70

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Solution

The fourth proportional to 273,140,930.70, 409,711,396.05 and 273,140,930.70 is: 409,711,396.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,140,930.70 : 409,711,396.05 = 273,140,930.70 : x
  2. Step 2: Convert to fraction form
    273,140,930.70/409,711,396.05 = 273,140,930.70/x
  3. Step 3: Cross multiply
    273,140,930.70x = 409,711,396.05 × 273,140,930.70
  4. Step 4: Simplify right side
    273,140,930.70x = 111,908,952,035,493,296
  5. Step 5: Solve for x
    x = 111,908,952,035,493,296/273,140,930.70
  6. Step 6: Final answer
    x = 409,711,396.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.